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Finding the Fourth Proportional to 208,947.92, 288,127.68 and 148,455.56

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Solution

The fourth proportional to 208,947.92, 288,127.68 and 148,455.56 is: 204,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,947.92 : 288,127.68 = 148,455.56 : x
  2. Step 2: Convert to fraction form
    208,947.92/288,127.68 = 148,455.56/x
  3. Step 3: Cross multiply
    208,947.92x = 288,127.68 × 148,455.56
  4. Step 4: Simplify right side
    208,947.92x = 42,774,156,085.90
  5. Step 5: Solve for x
    x = 42,774,156,085.90/208,947.92
  6. Step 6: Final answer
    x = 204,712.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.